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The three-dimensional evolution of a pure electron plasma is studied by means of a particle-in-cell code which solves the drift-Poisson system where kinetic effects in the motion parallel to the magnetic field are taken into account.…

Plasma Physics · Physics 2007-05-23 Massimiliano Rome , Roberto Pozzoli , Mauro Pravettoni , Yuri Tsidulko

A collisionless plasma is modeled by the Vlasov-Poisson system in three space dimensions. A fixed background of positive charge - dependant upon only velocity - is assumed. The situation in which mobile negative ions balance the positive…

Analysis of PDEs · Mathematics 2010-01-06 Stephen Pankavich

The process of nonlinear electron emission from a metal surface under the action of femtosecond laser pulse with moderate intensity $\sim10^{11}$~W/cm$^2$ is considered. One-dimensional model is formulated, taking into account the advantage…

Mesoscale and Nanoscale Physics · Physics 2016-11-24 P. A. Golovinski , E. A. Mikhin

This paper is a first step toward understanding the effect of toroidal geometry on the rigorous stability theory of plasmas. We consider a collisionless plasma inside a torus, modeled by the relativistic Vlasov-Maxwell system. The surface…

Analysis of PDEs · Mathematics 2015-06-16 Toan T. Nguyen , Walter A. Strauss

This paper is the first in a series devoted to the numerical study of nonlinear interactions of electromagnetic waves with plasma. We start with non-magnetized pair plasmas, where the primary processes are induced (Compton) scattering and…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Arka Ghosh , Daniel Kagan , Uri Keshet , Yuri Lyubarsky

Electron plasmas confined by an external magnetic field exhibit variations in a two-dimensional plane orthogonal to the confining magnetic field. A nonlinear fluid simulation code to investigate the properties of 2-D electron plasma wave…

Plasma Physics · Physics 2009-11-13 Dastgeer Shaikh , P. K. Shukla

We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compressible MHD equations, while in the vacuum region we…

Analysis of PDEs · Mathematics 2015-06-12 Paolo Secchi , Yuri Trakhinin

The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell (VM) system. These equations are considered in one space dimension and two momentum dimensions without the assumption…

Analysis of PDEs · Mathematics 2016-04-18 Robert Glassey , Stephen Pankavich , Jack Schaeffer

The dynamics of plasmas are governed by a set of non-linear differential equations which remain challenging to solve directly for large 2D and 3D problems. Here we investigate how tensor networks could be applied to plasmas described by the…

Plasma Physics · Physics 2025-12-19 Ryan J. J. Connor , Preetma Soin , Callum W. Duncan , Andrew J. Daley

A closed-form analytical solution is found for the nonlinear dynamics of isolated, near-threshold waves in the presence of strong scattering. The proposed solution can be useful in verifying codes across several disciplines, including…

Plasma Physics · Physics 2020-01-17 Vinicius Duarte , Nikolai Gorelenkov

This paper considers nonlinear dynamics of plasma oscillations modeled by a forced modified Van der Pol-Duffing oscillator. These plasma oscillations are described by a nonlinear differential equation of the form $ \ddot{x}+ \epsilon (1…

Fluid Dynamics · Physics 2013-08-29 C. H. Miwadinou , L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov

The possibility of the existence of quasi-stationary electromagnetic fields in plasma supported by their own self-consistent current follows from Maxwell's equations with field sources. These equations also give rise to a wave equation for…

Classical Physics · Physics 2023-01-02 Yurii A. Spirichev

A nonlinear time dependent fluid simulation model is developed that describes the evolution of magnetohydrodynamic waves in the presence of collisional and charge exchange interactions of a partially ionized plasma. The partially ionized…

Space Physics · Physics 2015-05-19 Dastgeer Shaikh , G. P. Zank

The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic…

Plasma Physics · Physics 2008-03-30 V. N. Soshnikov

The Vlasov-Poisson system describes the time evolution of a plasma in the so-called collisionless regime. The investigation of a high-temperature plasma that is influenced by an exterior magnetic field is one of the most significant aspects…

Optimization and Control · Mathematics 2024-07-11 Jan Bartsch , Patrik Knopf , Stefania Scheurer , Jörg Weber

Particle dynamic in an axi-symmetric mirror machine with an extremely high plasma pressure equal to pressure of vacuum magnetic field (so-called regime of diamagnetic confinement) is investigated. Extrusion of magnetic field from central…

Plasma Physics · Physics 2025-12-08 Ivan Chernoshtanov

We study the possibility of controlling kinetic plasma instabilities by using lasers to apply external electromagnetic fields. We derive the dispersion relation for the corresponding mathematical description, a reduced Vlasov--Maxwell…

Plasma Physics · Physics 2025-09-30 Nicolas Crouseilles , Lukas Einkemmer , Qin Li , Uri Shumlak , Yukun Yue

We develop an effective field theory approach to inspect the electromagnetic interactions in an electrically neutral plasma, with an equal number of negative and positive charge carriers. We argue that the static equilibrium configurations…

Plasma Physics · Physics 2009-11-06 Ludvig Faddeev , Antti J. Niemi

The fully nonlinear governing equations for spin 1/2 quantum plasmas are presented. Starting from the Pauli equation, the relevant plasma equations are derived, and it is shown that nontrivial quantum spin couplings arise, enabling studies…

Plasma Physics · Physics 2008-11-26 M. Marklund , G. Brodin
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